In this paper we solve periodic and Cauchy problems for nonlinear evolution equa-tions driven by time-dependent, pseudomonotone operators and a non-monotone perturbation term. Our proof produces as a by-product a useful property of the solution map for maximal monotone problems. Two examples of nonlinear parabolic problems illustrate the applicability of our work.
Cite this article
E.P. Avgerinos, Nikolaos S. Papageorgiou, Solutions and Periodic Solutions for Nonlinear Evolution Equations with Non-Monotone Perturbations. Z. Anal. Anwend. 17 (1998), no. 4, pp. 859–875DOI 10.4171/ZAA/855